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A generalization of Hahn-Banach extension theorem |
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| Authors: | Jianwen Peng Heung Wing Joseph Lee Xinmin Yang |
| Affiliation: | a Department of Mathematics, Chongqing Normal University, Chongqing 400047, PR China b Department of Mathematics, Inner Mongolia University, Hohhot 010021, Inner Mongolia, PR China c Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong |
| Abstract: | In this paper, the notion of affinelike set-valued maps is introduced and some properties of these maps are presented. Then a new Hahn-Banach extension theorem with a K-convex set-valued map dominated by an affinelike set-valued map is obtained. |
| Keywords: | Hahn-Banach extension theorem Affinelike Set-valued map |
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